Give a Geometric Description of the Set of Points Whose $$( x - 10 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + ( z - 2 ) ^ { 2 } < 4$$

Multiple Choice

Give a geometric description of the set of points whose coordinates satisfy the given conditions.
- $$( x - 10 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + ( z - 2 ) ^ { 2 } < 4$$

A) No set of points satisfy the given relations.
B) All points on the lower hemisphere centered at (10, 2, 2)
C) All points within the lower hemisphere centered at (10, 2, 2)
D) All points outside the lower hemisphere centered at (10, 2, 2)